- The random variable \(X\) is normally distributed with mean \(\mu\) and variance 36
Given that
$$\mathrm { P } ( \mu - 2 k < X < \mu + 2 k ) = 0.6$$
- find the value of \(k\)
The random variable \(Y\) is normally distributed with mean \(\mu\) and standard deviation \(\sigma\) Given that
$$2 \mu = 3 \sigma ^ { 2 } \quad \text { and } \quad \mathrm { P } \left( \mathrm { Y } > \frac { 3 } { 2 } \mu \right) = 0.0668$$
- find the value of \(\mu\) and the value of \(\sigma\)